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Simplifying 10y + 7 = 4y + 43 Reorder the terms: 7 + 10y = 4y + 43 Reorder the terms: 7 + 10y = 43 + 4y Solving 7 + 10y = 43 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 7 + 10y + -4y = 43 + 4y + -4y Combine like terms: 10y + -4y = 6y 7 + 6y = 43 + 4y + -4y Combine like terms: 4y + -4y = 0 7 + 6y = 43 + 0 7 + 6y = 43 Add '-7' to each side of the equation. 7 + -7 + 6y = 43 + -7 Combine like terms: 7 + -7 = 0 0 + 6y = 43 + -7 6y = 43 + -7 Combine like terms: 43 + -7 = 36 6y = 36 Divide each side by '6'. y = 6 Simplifying y = 6
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